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In class, we derived several benchmark theories of economic growth. In this question, we're going to discuss isolated economy of Malthustan. The island's production function

In class, we derived several benchmark theories of economic growth. In this question, we're going to discuss isolated economy of Malthustan. The island's production function is = 1 , where is TFP, is land (Terrain), and L is labor. The quantity of land is fixed, and so there is no capital investment: all that is grown is consumed (Y=C). i) Define c as consumption per worker. Derive both consumption per worker and the growth of consumption per worker (as accounting identities, not as a function of the underlying parameters). (2 points each, for a total of 4 points)

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